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Width - Walkway

 
 
Reply Sun 5 Jul, 2015 07:38 pm
A flower garden is bordered by a gravel walkway of uniform width. The area of walkway is 3/5 the area of garden. Calculate width of walkway.

Dimensions of garden - 18 x 30 feet.

What is known:

A flower garden is bordered by a gravel walkway.
The walkway is uniform width and area is 3/5 area of garden.
Dimensions of garden is 18 x 30 feet.

Want to know:

Width of walkway.

My partial solutuon:

Area = Length x Width

Perimeter = 2L + 2W

Area of garden - 18 x 30 = 540 sq. ft.

Area of walkway - 540 x 3/5 = 324 sq. ft.

Perimeter of garden - 2(30) + 2(18) = 96 ft.

How do I continue?

Non-homework question.
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Type: Question • Score: 0 • Views: 735 • Replies: 4
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Randy Dandy
 
  0  
Reply Tue 7 Jul, 2015 01:27 pm
@Randy Dandy,
Please respond. Thanks.

Again, not homework question.
Randy Dandy
 
  0  
Reply Thu 16 Jul, 2015 05:35 pm
@Randy Dandy,
Please reply. Thanks again.
0 Replies
 
ekename
 
  1  
Reply Tue 28 Jul, 2015 02:11 am
@Randy Dandy,
On the other website where you post all your questions you were told:

2 x 18 x W + 2 x 30 x W + 4W^2 = 3/5 x 18 x 30
36 x W + 60 x W + 4W^2 = 324
96 X W + 4W^2 = 324
4W^2 + 96W - 324 = 0
W^2 + 24W - 81 = 0
(W - 3)(W + 27) = 0

W = 3 OR W = -27

Valid answer is W = 3

Then you were told by way of explanation:

The walkway at each side is 30 x W and there are 2 of them
The walkway at top and bottom is 18 x W each so thats 2 bits.
We have so fat counted the sides and top and botton walkways and excluded the bits at the corners.....
That leaves 4 corner squares W x W so thats 4W^2 to add on

Then you said:

Postby Guest ยป Tue Jul 07, 2015 5:56 pm

I understand it now. Thanks.


You have received the answer to your question and been advised about how the answer is obtained.

Try drawing a diagram.







Randy Dandy
 
  0  
Reply Tue 28 Jul, 2015 02:04 pm
@ekename,
Sorry for duplicate post.
0 Replies
 
 

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